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Euclid's algorithm in the cyclotomic field $ Q(\zeta \sb{16})$

Author: T. Ojala
Journal: Math. Comp. 31 (1977), 268-273
MSC: Primary 12A35; Secondary 10A25, 12A45
MathSciNet review: 0422202
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Abstract: Let $ {\zeta _{16}}$ denote a primitive 16th root of unity. It is proved that $ {\mathbf{Z}}[{\zeta _{16}}]$ is Euclidean for the norm map.

References [Enhancements On Off] (What's this?)

  • [1] H. W. LENSTRA, JR., "Euclid's algorithm in cyclotomic fields," J. London Math. Soc. (2), v. 10, 1975, pp. 457-465. MR 0387257 (52:8100)
  • [2] J. M. MASLEY, "On cyclotomic fields Euclidean for the norm map," Notices Amer. Math. Soc., v. 19, 1972, A-813. Abstract # 700-A3.

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Article copyright: © Copyright 1977 American Mathematical Society

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